Least Common Multiple (LCM) of 150 and 80
The least common multiple (LCM) of 150 and 80 is 1200.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 150 and 80?
First, calculate the GCD of 150 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 80 = 1 remainder 70 |
| 2 | 80 ÷ 70 = 1 remainder 10 |
| 3 | 70 ÷ 10 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 67 | 9112 |
| 107 and 44 | 4708 |
| 54 and 100 | 2700 |
| 38 and 31 | 1178 |
| 123 and 151 | 18573 |